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Simplifying 2(1 + -1x) = 3(2x + -4) (1 * 2 + -1x * 2) = 3(2x + -4) (2 + -2x) = 3(2x + -4) Reorder the terms: 2 + -2x = 3(-4 + 2x) 2 + -2x = (-4 * 3 + 2x * 3) 2 + -2x = (-12 + 6x) Solving 2 + -2x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + -2x + -6x = -12 + 6x + -6x Combine like terms: -2x + -6x = -8x 2 + -8x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -8x = -12 + 0 2 + -8x = -12 Add '-2' to each side of the equation. 2 + -2 + -8x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -12 + -2 -8x = -12 + -2 Combine like terms: -12 + -2 = -14 -8x = -14 Divide each side by '-8'. x = 1.75 Simplifying x = 1.75
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